Thanks for your post and welcome back!
Sorry you've had so many problems getting BT Sport working since moving house. I appreciate the amount of your time you've spent trying to sort this out.
The community isn't going to be able to help with this so if you still need a hand I'd like to help. I notice that you've mentioned that you didn't really want to cancel BT Sport. I'm confident that I can get things aligned correctly so that you can watch BT Sport again.
Click on my username here >> RobbieMac << and you'll see our contact link on the left hand side underneath my profile picture.
I'm sorry you're having problems transferring your BT Sport subscription to your new Sky Card.
I'll be able to help you with this. Please can you send me in your details using the "Contact The Mods" link found in my profile.